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Finding the Fourth Proportional to 2,038.41, 3,058.97 and 997.52

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Solution

The fourth proportional to 2,038.41, 3,058.97 and 997.52 is: 1,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.41 : 3,058.97 = 997.52 : x
  2. Step 2: Convert to fraction form
    2,038.41/3,058.97 = 997.52/x
  3. Step 3: Cross multiply
    2,038.41x = 3,058.97 × 997.52
  4. Step 4: Simplify right side
    2,038.41x = 3,051,363.47
  5. Step 5: Solve for x
    x = 3,051,363.47/2,038.41
  6. Step 6: Final answer
    x = 1,496.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.